Information on Result #669382
Linear OA(6456, 4114, F64, 20) (dual of [4114, 4058, 21]-code), using generalized (u, u+v)-construction based on
- linear OA(642, 3, F64, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,64)), using
- dual of repetition code with length 3 [i]
- linear OA(643, 3, F64, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,64) or 3-cap in PG(2,64)), using
- linear OA(643, 3, F64, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,64) or 3-cap in PG(2,64)) (see above)
- linear OA(643, 3, F64, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,64) or 3-cap in PG(2,64)) (see above)
- linear OA(643, 3, F64, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,64) or 3-cap in PG(2,64)) (see above)
- linear OA(643, 3, F64, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,64) or 3-cap in PG(2,64)) (see above)
- linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.